I would take it to the next step, though, and make a nice mini-website for it. One that lets people download the video, but also get connected with NASA.
YouTube and Vimeo work for some people, but there are lots of other people who would love to download a big fat h.264 file and play it on their massive home theater system.
As +Camilla Corona SDO
can tell you, this is a marathon, not a sprint.
If you're going to create the content, you want to give it the widest possible release.